{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. 什么是时间序列\n",
    "*历史数据预测未来*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 目录\n",
    "- 什么是时间序列？\n",
    "- 时间序列主要有哪些模型?\n",
    "- 时间序列中的平稳性是什么？\n",
    "- 如何用ADF检验时间序列的平稳性？"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 什么是时间序列？\n",
    "时间序列数据记录的是同一个个体的某种也做随着时间的推移不断发展的过程，比如股票、期货、外汇的日收盘价等。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 时间序列主要有哪些模型?\n",
    "1. AR\n",
    "2. MA\n",
    "3. ARIMA\n",
    "4. GACRH\n",
    "5. ARIMA_GARCH"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 时间序列中的平稳性是什么？\n",
    "一切时间序列的模型都是基于平稳性，如果不是平稳的时间序列，很容易出现所谓的伪回归(spurious regression)。\n",
    "举个例子，你可能会发现某地的累计降雨量和它的CPI存在正相关关系，你run了个regression，发现模型的R方还不错，这是否意味着你可以用累计降雨量去预测CPI呢？NO.之所以会这样，是因为这两个序列都会随时间而增长，也就是说存在一个固定的趋势，即不平稳。不过大部分的金融时间序列并不会有固定趋势（不然你就无脑买就好啦），但是还有一种随机趋势，而大部分的金融时间序列都是随机趋势，也就是常说的随机漫步。 \n",
    "#### 何谓平稳性呢？ \n",
    "一个时间序列，如果均值没有系统的变化（无趋势）、方差没有系统变化，且严格消除了周期性变化，就称之是平稳的。 \n",
    "\n",
    "平稳性分为强平稳与弱平稳：\n",
    "\n",
    "- 强平稳\n",
    "\n",
    "强平稳过程的条件是一段时间序列，你在当中随便取两段长度一样的时间序列出来，它们两个的联合分布得相同。这个要求有点过分，所以我们一般所指的平稳为弱平稳。 \n",
    "\n",
    "\n",
    "- 弱平稳\n",
    "\n",
    "弱平稳的条件为时间序列的均值与方差是常数函数，协方差只依赖于时间间隔。用公式表达就是\n",
    "\n",
    "$$E(X_t)=\\mu<\\infty$$\n",
    "$$E(X_t^2)=\\gamma_0<\\infty$$\n",
    "$$Cov(X_t,X_{t+k})=\\gamma_k \\qquad    for \\quad\\forall \\quad k $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 模拟固定趋势，随机趋势和平稳序列的图\n",
    "第一幅图是稳定的趋势，随着时间增长而上涨。\n",
    "\n",
    "第二幅其实就是我们所说的随机游走，也就是当前的观测值等于上一期的值加上一个白噪声，从图中可见随机漫步忽上忽下没有稳定的趋势。\n",
    "\n",
    "第三幅图则是俗称的白噪声，即独立同分布，且均值为0，方差为常数，无序列相关性的一个时间序列，是一个平稳的过程，可以看见其在均值0上下波动。\n",
    "\n",
    "一般来说，如果序列呈现上面第三幅图的形状，我们可以假设其平稳，当然由图中直接推断比较不够准确。我们可以用统计检验来验证。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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/bg7XLC45aTXFXS39fPXhnWxv7ue8Gfkc6AgQjiX4j/cu5erFJSd8botvkFvv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HDHbKDYw5hwH4YFe/HxbtvrAC1zq6bGth8kdFY319yisfFgIXPjgnu0viypdQfzy9l2rJjkaP9O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\nEEIIIYQQ/dD/B1cJkiIJAlhwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1652a048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x=np.arange(1,100,1)\n",
    "\n",
    "y_ft=0.3*x+z\n",
    "\n",
    "y_st=np.zeros(100)\n",
    "for j in np.arange(99):\n",
    "    y_st[j+1]=y_st[j]+z[j]\n",
    "fig2 = plt.figure(figsize=(15,5))\n",
    "\n",
    "z=np.random.normal(0,1,99)\n",
    "\n",
    "ax1=fig2.add_subplot(311)\n",
    "ax2=fig2.add_subplot(312)\n",
    "ax3=fig2.add_subplot(313)\n",
    "ax1.plot(y_ft)\n",
    "ax2.plot(y_st)\n",
    "ax3.plot(z)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 如何用ADF检验时间序列的平稳性？\n",
    "#### d阶单整\n",
    "如果一个时间序列经过一次差分变成平稳的，则称原序列是1阶单整的，记为I(1)。 一般地，如果时间序列经过d次差分后变成平稳序列，而经过d-1次差分仍不平稳，则称原序列是d阶单整序列，记为I(d)。如果时间序列平稳，则记为I（0）。我们来演示一下000001股票差分的序列，并用ADF-test检验是否平稳。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "close_p_value:0.286124266884\n",
      "diff_p_value:0.006009307564\n",
      "pct_p_value:0.00559202415792\n"
     ]
    },
    {
     "data": {
      "image/png": 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vyvpHz5UPaPoAs7V1+YWl+zGazPh5OGM0WViwJZ8nftjLuH5+JIbpmTk4lMQw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\nBMWPPSsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x16ab9cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from statsmodels.tsa.stattools import adfuller\n",
    "import tushare\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "data=tushare.get_k_data('000001', start='2016-01-01', end='2016-12-31', ktype='D',autype='qfq')\n",
    "data.index = pd.to_datetime(data['date'],format='%Y-%m-%d')\n",
    "data=data['close']\n",
    "\n",
    "close_p_value = adfuller(data)[1]\n",
    "print('close_p_value:%s'  %close_p_value)\n",
    "\n",
    "diff_p_value=adfuller(data.diff()[1:])[1]\n",
    "print('diff_p_value:%s'   %diff_p_value)\n",
    "\n",
    "pct_p_value=adfuller(data.pct_change()[1:])[1]\n",
    "print('pct_p_value:%s'   %pct_p_value)\n",
    "\n",
    "fig2 = plt.figure(figsize=(15,5))\n",
    "ax1=fig2.add_subplot(311)\n",
    "ax2=fig2.add_subplot(312)\n",
    "ax3=fig2.add_subplot(313)\n",
    "ax1.plot(data)\n",
    "ax2.plot(data.diff())\n",
    "ax3.plot(data.pct_change()[1:])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "第一个p-value不显著而第二个p-value显著，也就是说未差分前序列不平稳，而差分后序列平稳。 \n",
    "根据ADF-test的结果，可以得出该序列为I(1),所以一般我们会使用一次差分或收益率来进行时间序列的建模。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 作业\n",
    "对不同的股票序列进行差分与检验。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
